Search a number
-
+
302033010120 = 233553241119697
BaseRepresentation
bin1000110010100101001…
…00011111110111001000
31001212121012101122100020
410121102210133313020
514422030422310440
6350430235340440
730551442140502
oct4312244376710
91055535348306
10302033010120
1110710083a956
124a6522b1720
132263509308a
1410893150d72
157ccade23d0
hex465291fdc8

302033010120 has 128 divisors (see below), whose sum is σ = 923625037440. Its totient is φ = 78985687040.

The previous prime is 302033010053. The next prime is 302033010163. The reversal of 302033010120 is 21010330203.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 302033010120.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15324112 + ... + 15343808.

It is an arithmetic number, because the mean of its divisors is an integer number (7215820605).

Almost surely, 2302033010120 is an apocalyptic number.

302033010120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 302033010120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (461812518720).

302033010120 is an abundant number, since it is smaller than the sum of its proper divisors (621592027320).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

302033010120 is a wasteful number, since it uses less digits than its factorization.

302033010120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22175 (or 22171 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 302033010120 its reverse (21010330203), we get a palindrome (323043340323).

The spelling of 302033010120 in words is "three hundred two billion, thirty-three million, ten thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 53 60 106 120 159 212 265 318 424 530 636 795 1060 1272 1590 2120 2411 3180 4822 6360 7233 9644 12055 14466 19288 19697 24110 28932 36165 39394 48220 57864 59091 72330 78788 96440 98485 118182 127783 144660 157576 196970 236364 255566 289320 295455 383349 393940 472728 511132 590910 638915 766698 787880 1022264 1043941 1181820 1277830 1533396 1916745 2087882 2363640 2555660 3066792 3131823 3833490 4175764 5111320 5219705 6263646 7666980 8351528 10439410 12527292 15333960 15659115 20878820 25054584 31318230 41757640 47489467 62636460 94978934 125272920 142468401 189957868 237447335 284936802 379915736 474894670 569873604 712342005 949789340 1139747208 1424684010 1899578680 2516941751 2849368020 5033883502 5698736040 7550825253 10067767004 12584708755 15101650506 20135534008 25169417510 30203301012 37754126265 50338835020 60406602024 75508252530 100677670040 151016505060 302033010120